{"id":"https://openalex.org/W2013490367","doi":"https://doi.org/10.1145/1778765.1778855","title":"A wave-based anisotropic quadrangulation method","display_name":"A wave-based anisotropic quadrangulation method","publication_year":2010,"publication_date":"2010-07-15","ids":{"openalex":"https://openalex.org/W2013490367","doi":"https://doi.org/10.1145/1778765.1778855","mag":"2013490367"},"language":"en","primary_location":{"id":"doi:10.1145/1778765.1778855","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1778765.1778855","pdf_url":null,"source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101567314","display_name":"Muyang Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Muyang Zhang","raw_affiliation_strings":["Zhejiang University","Zhejiang, University"],"affiliations":[{"raw_affiliation_string":"Zhejiang University","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"Zhejiang, University","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101595129","display_name":"Jin Huang","orcid":"https://orcid.org/0000-0003-4048-521X"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jin Huang","raw_affiliation_strings":["Zhejiang University","Zhejiang, University"],"affiliations":[{"raw_affiliation_string":"Zhejiang University","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"Zhejiang, University","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110708902","display_name":"Xinguo Liu","orcid":"https://orcid.org/0000-0002-2084-4310"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xinguo Liu","raw_affiliation_strings":["Zhejiang University","Zhejiang, University"],"affiliations":[{"raw_affiliation_string":"Zhejiang University","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"Zhejiang, University","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059021869","display_name":"Hujun Bao","orcid":"https://orcid.org/0000-0002-2662-0334"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hujun Bao","raw_affiliation_strings":["Zhejiang University","Zhejiang, University"],"affiliations":[{"raw_affiliation_string":"Zhejiang University","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"Zhejiang, University","institution_ids":["https://openalex.org/I76130692"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5101567314"],"corresponding_institution_ids":["https://openalex.org/I76130692"],"apc_list":null,"apc_paid":null,"fwci":12.6539,"has_fulltext":false,"cited_by_count":73,"citation_normalized_percentile":{"value":0.99177741,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"29","issue":"4","first_page":"1","last_page":"8"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/quadrilateral","display_name":"Quadrilateral","score":0.7445701956748962},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.6236517429351807},{"id":"https://openalex.org/keywords/curl","display_name":"Curl (programming language)","score":0.6052600741386414},{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.5601426959037781},{"id":"https://openalex.org/keywords/anisotropy","display_name":"Anisotropy","score":0.5234934091567993},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5103341937065125},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.4951435625553131},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.4677923619747162},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44916895031929016},{"id":"https://openalex.org/keywords/feature","display_name":"Feature (linguistics)","score":0.44208624958992004},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42271688580513},{"id":"https://openalex.org/keywords/orientation","display_name":"Orientation (vector space)","score":0.419320285320282},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.20096439123153687},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13770636916160583},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.11509200930595398},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.09359163045883179}],"concepts":[{"id":"https://openalex.org/C151756577","wikidata":"https://www.wikidata.org/wiki/Q36810","display_name":"Quadrilateral","level":3,"score":0.7445701956748962},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.6236517429351807},{"id":"https://openalex.org/C147663694","wikidata":"https://www.wikidata.org/wiki/Q1144631","display_name":"Curl (programming language)","level":2,"score":0.6052600741386414},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.5601426959037781},{"id":"https://openalex.org/C85725439","wikidata":"https://www.wikidata.org/wiki/Q466686","display_name":"Anisotropy","level":2,"score":0.5234934091567993},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5103341937065125},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.4951435625553131},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.4677923619747162},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44916895031929016},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.44208624958992004},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42271688580513},{"id":"https://openalex.org/C16345878","wikidata":"https://www.wikidata.org/wiki/Q107472979","display_name":"Orientation (vector space)","level":2,"score":0.419320285320282},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.20096439123153687},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13770636916160583},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.11509200930595398},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.09359163045883179},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/1778765.1778855","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1778765.1778855","pdf_url":null,"source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.676.3193","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.676.3193","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cad.zju.edu.cn/home/zhangmuyang/projects/quadmesh_2010/Huang10WaveQuad.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.7900000214576721,"id":"https://metadata.un.org/sdg/11"}],"awards":[{"id":"https://openalex.org/G3941931581","display_name":null,"funder_award_id":"6.10E+15","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5687441399","display_name":null,"funder_award_id":"2009CB320801","funder_id":"https://openalex.org/F4320321540","funder_display_name":"Ministry of Science and Technology of the People's Republic of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321540","display_name":"Ministry of Science and Technology of the People's Republic of China","ror":"https://ror.org/027s68j25"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W120859022","https://openalex.org/W1626653188","https://openalex.org/W1910188845","https://openalex.org/W1967580607","https://openalex.org/W1968403482","https://openalex.org/W1975207205","https://openalex.org/W2000922989","https://openalex.org/W2015774454","https://openalex.org/W2017709497","https://openalex.org/W2026043300","https://openalex.org/W2047131312","https://openalex.org/W2051361163","https://openalex.org/W2076333493","https://openalex.org/W2079804759","https://openalex.org/W2085499357","https://openalex.org/W2091749278","https://openalex.org/W2092271768","https://openalex.org/W2093027094","https://openalex.org/W2100636167","https://openalex.org/W2123207641","https://openalex.org/W2131717552","https://openalex.org/W2143527972","https://openalex.org/W2158332287","https://openalex.org/W3004175625","https://openalex.org/W3139081031"],"related_works":["https://openalex.org/W2382844561","https://openalex.org/W4225381306","https://openalex.org/W1968844089","https://openalex.org/W2953041517","https://openalex.org/W2077820952","https://openalex.org/W2164512662","https://openalex.org/W2352017532","https://openalex.org/W2083529992","https://openalex.org/W2898882437","https://openalex.org/W3135949361"],"abstract_inverted_index":{"This":[0,33],"paper":[1],"proposes":[2],"a":[3,8,20,67,101],"new":[4,102],"method":[5,37,113],"for":[6,126],"remeshing":[7],"surface":[9,26,65],"into":[10],"anisotropically":[11],"sized":[12],"quads.":[13],"The":[14,75,106],"basic":[15],"idea":[16],"is":[17,38,79,124],"to":[18,27,57,70,91],"construct":[19],"special":[21],"standing":[22],"wave":[23,34],"on":[24,86],"the":[25,29,42,51,58,63,72,87,95,111,127],"generate":[28],"global":[30],"quadrilateral":[31],"structure.":[32],"based":[35],"quadrangulation":[36,118],"capable":[39],"of":[40],"controlling":[41],"quad":[43,73],"size":[44,77,84,96],"in":[45],"two":[46,83],"directions":[47],"and":[48,120],"precisely":[49],"aligning":[50],"quads":[52],"with":[53,66],"feature":[54],"lines.":[55],"Similar":[56],"previous":[59],"methods,":[60],"we":[61],"augment":[62],"input":[64],"vector":[68],"field":[69],"guide":[71],"orientation.":[74],"anisotropic":[76],"control":[78],"achieved":[80],"by":[81,100],"using":[82],"fields":[85,97],"surface.":[88],"In":[89],"order":[90],"reduce":[92],"singularity":[93],"points,":[94],"are":[98],"optimized":[99],"curl":[103],"minimization":[104],"method.":[105],"experimental":[107],"results":[108],"show":[109],"that":[110],"proposed":[112],"can":[114],"successfully":[115],"handle":[116],"various":[117],"requirements":[119],"complex":[121],"shapes,":[122],"which":[123],"difficult":[125],"existing":[128],"state-of-the-art":[129],"methods.":[130]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":11},{"year":2012,"cited_by_count":6}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
